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| Title: | Characterizations of extra-invariant spaces under the left translations on a Lie group |
| Authors: | Sarkar, Sudipta Shukla, Niraj Kumar |
| Keywords: | Heisenberg group;Nilpotent Lie group;Plancherel transform and periodization operator;Range function;Translation invariant space |
| Issue Date: | 2023 |
| Publisher: | Birkhauser |
| Citation: | Sarkar, S., & Shukla, N. K. (2023). Characterizations of extra-invariant spaces under the left translations on a Lie group. Advances in Operator Theory, 8(3). Scopus. https://doi.org/10.1007/s43036-023-00273-x |
| Abstract: | In the context of a connected, simply connected nilpotent Lie group, whose representations are square-integrable modulo the center, we find characterization results of extra-invariant spaces under the left translations associated with the range functions. Consequently, the theory is valid for the Heisenberg group Hd, a 2-step nilpotent Lie group. © 2023, Tusi Mathematical Research Group (TMRG). |
| URI: | https://doi.org/10.1007/s43036-023-00273-x https://dspace.iiti.ac.in/handle/123456789/12452 |
| ISSN: | 2538-225X |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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